Page 11 - Vibrations 5
P. 11

To solve this, use the following keystrokes (MODE)53













        1=z1.4=0.48==














                                                         =














         = 1 and  = 2/5. These are the eigenvalues. The
                                2
          1
        frequencies are related to these values,



                                 = √ = 1 and  = √2/5
                                   1
                                                                       2
                                                1
        The mode shape can be determined by considering,


                                   0.8 −               −0.4              1
                                (                                  ) (      ) = 
                                     −0.2             0.6 −            2


        Using the first eigenvalue,


                                    0.8 − 1             −0.4             1
                                  (                                ) (       ) = 
                                      −0.2            0.6 − 1            2


        or




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